Generalizations of the Dirichlet Problem for Bianalytic Functions
William L. Blair
Source abstract
ABSTRACT We prove the Dirichlet problem for second‐order iterated Vekua equations, a natural generalization of the Bitsadze equation, is well‐posed when the boundary condition is defined as a product of an exponential function and a polynomial on a non‐degenerate conic that is not a circumference. Also, we extend this result, as well as other related results for the Dirichlet problem for polyanalytic and generalized analytic functions from the literature, to their analogues for bicomplex differential equations.
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